| N维单形中Jain R.R.型分式不等式的稳定性 |
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| 引用本文： | 张垚. N维单形中Jain R.R.型分式不等式的稳定性[J]. 湖南文理学院学报(自然科学版), 2008, 20(3) |
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| 作者姓名： | 张垚 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,湖南长沙410081 |
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| 基金项目： | 湖南省教育厅资助项目，湖南省自然科学基金 |
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| 摘 要： | 引入两个单形之间的一种新度量, 使得全体n维单形集合成为一个度量空间, 应用这种度量方法, 证明了涉及n维单形体积、高和单形内点到侧面距离的Jani(c) R. R. 型分式不等式的稳定性, 这些结论是对应的几何不等式的推广和加强.
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| 关 键 词： | 稳定性 n维单形 不等式 体积 高 单形内点到侧面的距离 |
Stability on the Jani(c) R.R.type fractional inequalities of an N-Simplex |
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| ZHANG Yao. Stability on the Jani(c) R.R.type fractional inequalities of an N-Simplex[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2008, 20(3) |
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| Authors: | ZHANG Yao |
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| Affiliation: | ZHANG Yao (Mathematics , Computer Science College,Hunan Normal University,Changsha Hunan,410081) |
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| Abstract: | The definition of a metric between any two n-simplexes was put forward such that the set of all n-simple- xes was a metric space. By this metric method, the stability was proven on Jani? R.R.type factional inequalities concerning to the volume, altitude and the distance from an interior point to the side facet for an n-simplex. These conclusions are the generalization and strengthening of corresponding geometric inequalities. |
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| Keywords: | stability n-simplex inequality volume altitude distance from an interior point to the side facet |
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